(x+1)(x+6)=23+12,56

Solution for (x+1)(x+6)=23+12,56 equation:

(x+1)(x+6)=23+12.56

We move all terms to the left:

(x+1)(x+6)-(23+12.56)=0

We add all the numbers together, and all the variables

(x+1)(x+6)-(35.56)=0

We add all the numbers together, and all the variables

(x+1)(x+6)-35.56=0

We multiply parentheses ..

(+x^2+6x+x+6)-35.56=0

We get rid of parentheses

x^2+6x+x+6-35.56=0

We add all the numbers together, and all the variables

x^2+7x-29.56=0

a = 1; b = 7; c = -29.56;
Δ = b2-4ac
Δ = 72-4·1·(-29.56)
Δ = 167.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{167.24}}{2*1}=\frac{-7-\sqrt{167.24}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{167.24}}{2*1}=\frac{-7+\sqrt{167.24}}{2}
$